Theorems · Theorem · number theory
Nat.ModEq.mul
∀ {n a b c d : ℕ}, a ≡ b [MOD n] → c ≡ d [MOD n] → a * c ≡ b * d [MOD n]- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ModEqstatement and proof · cited by 225
- Nat.ModEq.transproof · cited by 21
- Nat.ModEq.mul_rightproof · cited by 4
- Nat.ModEq.mul_leftproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Nat.ModEq.listProd_mapproof · cited by 2
- Nat.odd_mul_oddproof · cited by 1
- Nat.ModEq.powproof · cited by 0